Theorem QuantTheoremProducer::universalInst(const Theorem& t1, const vector<Expr>& terms){
Expr e = t1.getExpr();
const vector<Expr>& boundVars = e.getVars();
if(CHECK_PROOFS) {
CHECK_SOUND(boundVars.size() == terms.size(),
"Universal instantiation: size of terms array does "
"not match quanitfied variables array size");
CHECK_SOUND(e.isForall(),
"universal instantiation: expr must be FORALL:\n"
+e.toString());
for(unsigned int i=0; i<terms.size(); i++)
CHECK_SOUND(d_theoryQuant->getBaseType(boundVars[i]) ==
d_theoryQuant->getBaseType(terms[i]),
"Universal instantiation: type mismatch");
}
//build up a conjunction of type predicates for expression
Expr tr = e.getEM()->trueExpr();
Expr typePred = tr;
unsigned qlevel=0, qlevelMax = 0;
for(unsigned int i=0; i<terms.size(); i++) {
Expr p = d_theoryQuant->getTypePred(boundVars[i].getType(),terms[i]);
if(p!=tr) {
if(typePred==tr)
typePred = p;
else
typePred = typePred.andExpr(p);
}
qlevel = d_theoryQuant->theoryCore()->getQuantLevelForTerm(terms[i]);
if (qlevel > qlevelMax) qlevel = qlevelMax;
}
Expr inst = e.getBody().substExpr(e.getVars(), terms);
// Expr inst = e.getBody().substExprQuant(e.getVars(), terms);
// Expr inst = e.getBody().substExpr(e.getVars(), terms);
Proof pf;
if(withProof()) {
vector<Proof> pfs;
vector<Expr> es;
pfs.push_back(t1.getProof());
es.push_back(e);
es.push_back(Expr(RAW_LIST,terms));
// es.insert(es.end(), terms.begin(), terms.end());
es.push_back(inst);
pf= newPf("universal_elimination3", es, pfs);
}
// Expr inst = e.getBody().substExpr(e.getVars(), terms);
Expr imp;
if( typePred == tr ) //just for easy life, yeting, change this asap
imp = inst;
else
imp = typePred.impExpr(inst);
Theorem ret = newTheorem(imp, t1.getAssumptionsRef(), pf);
unsigned thmLevel = t1.getQuantLevel();
if(qlevel >= thmLevel) {
ret.setQuantLevel(qlevel+1);
}
else{
// ret.setQuantLevel(thmLevel+1);
ret.setQuantLevel(thmLevel+1);
}
// ret.setQuantLevel(qlevel+1);
return ret;
}
Theorem QuantTheoremProducer::partialUniversalInst(const Theorem& t1, const vector<Expr>& terms, int quantLevel){
cout<<"error in partial inst" << endl;
Expr e = t1.getExpr();
const vector<Expr>& boundVars = e.getVars();
if(CHECK_PROOFS) {
CHECK_SOUND(boundVars.size() >= terms.size(),
"Universal instantiation: size of terms array does "
"not match quanitfied variables array size");
CHECK_SOUND(e.isForall(),
"universal instantiation: expr must be FORALL:\n"
+e.toString());
for(unsigned int i=0; i<terms.size(); i++){
CHECK_SOUND(d_theoryQuant->getBaseType(boundVars[i]) ==
d_theoryQuant->getBaseType(terms[i]),
"partial Universal instantiation: type mismatch");
}
}
//build up a conjunction of type predicates for expression
Expr tr = e.getEM()->trueExpr();
Expr typePred = tr;
for(unsigned int i=0; i<terms.size(); i++) {
Expr p = d_theoryQuant->getTypePred(boundVars[i].getType(),terms[i]);
if(p!=tr) {
if(typePred==tr)
typePred = p;
else
typePred = typePred.andExpr(p);
}
}
Proof pf;
if(withProof()) {
vector<Proof> pfs;
vector<Expr> es;
pfs.push_back(t1.getProof());
es.push_back(e);
es.insert(es.end(), terms.begin(), terms.end());
pf= newPf("partial_universal_instantiation", es, pfs);
}
if(terms.size() == boundVars.size()){
Expr inst = e.getBody().substExpr(e.getVars(), terms);
Expr imp;
if(typePred == tr)
imp = inst;
else
imp = typePred.impExpr(inst);
return(newTheorem(imp, t1.getAssumptionsRef(), pf));
}
else{
vector<Expr> newBoundVars;
for(size_t i=0; i<terms.size(); i++) {
newBoundVars.push_back(boundVars[i]);
}
vector<Expr>leftBoundVars;
for(size_t i=terms.size(); i<boundVars.size(); i++) {
leftBoundVars.push_back(boundVars[i]);
}
Expr tempinst = e.getBody().substExpr(newBoundVars, terms);
Expr inst = d_theoryQuant->getEM()->newClosureExpr(FORALL, leftBoundVars, tempinst);
Expr imp;
if(typePred == tr)
imp = inst;
else
imp = typePred.impExpr(inst);
Theorem res = (newTheorem(imp, t1.getAssumptionsRef(), pf));
int thmLevel = t1.getQuantLevel();
if(quantLevel >= thmLevel) {
res.setQuantLevel(quantLevel+1);
}
else{
//k ret.setQuantLevel(thmLevel+1);
res.setQuantLevel(thmLevel);
}
return res;
}
}
int main(int argc, char* argv[]) {
try {
// Check the arguments
if (argc != 3) {
cerr << "usage: sha1smt message output-file" << std::endl;
return 1;
}
// Get the message to encode and the output file
string msg = argv[1];
unsigned msgSize = msg.size();
ofstream output(argv[2]);
output << expr::ExprSetDepth(-1) << expr::ExprSetLanguage(language::output::LANG_SMTLIB_V2);
output << SetBenchmarkLogicCommand("QF_BV") << endl;
output << SetBenchmarkStatusCommand(SMT_SATISFIABLE) << endl;
// Make the variables the size of the string
hashsmt::cvc4_uchar8 *cvc4input = new hashsmt::cvc4_uchar8[msgSize];
for (unsigned i = 0; i < msgSize; ++ i) {
stringstream ss;
ss << "x" << i;
cvc4input[i] = hashsmt::cvc4_uchar8(ss.str());
output << DeclareFunctionCommand(ss.str(), cvc4input[i].getExpr(), cvc4input[i].getExpr().getType()) << endl;
// Ouput the solution also
Expr solution = (cvc4input[i] == hashsmt::cvc4_uchar8(msg.c_str()[i]));
output << "; " << AssertCommand(solution) << endl;
}
// Do the cvc4 encoding
hashsmt::sha1 cvc4encoder;
cvc4encoder.process_bytes(cvc4input, msgSize);
// Get the digest as bitvectors
hashsmt::cvc4_uint32 cvc4digest[5];
cvc4encoder.get_digest(cvc4digest);
// Do the actual sha1 encoding
boost::uuids::detail::sha1 sha1encoder;
sha1encoder.process_bytes(msg.c_str(), msgSize);
unsigned sha1digest[5];
sha1encoder.get_digest(sha1digest);
// Create the assertion
Expr assertion;
for (unsigned i = 0; i < 5; ++ i) {
Expr conjunct = (cvc4digest[i] == hashsmt::cvc4_uint32(sha1digest[i]));
if (i > 0) {
assertion = assertion.andExpr(conjunct);
} else {
assertion = conjunct;
}
}
output << AssertCommand(assertion) << endl;
// Checksat command
output << CheckSatCommand() << endl;
delete cvc4input;
} catch (CVC4::Exception& e) {
cerr << e << endl;
}
}